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Iterative Methods for Optimization

Iterative Methods for Optimization Author C. T. Kelley
ISBN-10 161197092X
Release 1999
Pages 180
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This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.



Iterative Methods for Linear and Nonlinear Equations

Iterative Methods for Linear and Nonlinear Equations Author C. T. Kelley
ISBN-10 9780898713527
Release 1995-01-01
Pages 166
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Mathematics of Computing -- Numerical Analysis.



Computational Methods for Inverse Problems

Computational Methods for Inverse Problems Author Curtis R. Vogel
ISBN-10 9780898717570
Release 2002
Pages 183
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Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.



Optimization Software Guide

Optimization Software Guide Author Jorge J. More
ISBN-10 9780898713220
Release 1993-01-01
Pages 154
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Mathematics of Computing -- Numerical Analysis.



Iterative Methods for Solving Linear Systems

Iterative Methods for Solving Linear Systems Author Anne Greenbaum
ISBN-10 9780898713961
Release 1997-01-01
Pages 220
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Mathematics of Computing -- Numerical Analysis.



Computational Methods for Option Pricing

Computational Methods for Option Pricing Author Yves Achdou
ISBN-10 9780898715736
Release 2005-07-18
Pages 297
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This book allows you to understand fully the modern tools of numerical analysis in finance.



Numerical Continuation Methods

Numerical Continuation Methods Author Eugene L. Allgower
ISBN-10 9783642612572
Release 2012-12-06
Pages 388
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Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code format. An appendix supplies five sample FORTRAN programs with numerical examples, which readers can adapt to fit their purposes, and a description of the program package SCOUT for analyzing nonlinear problems via piecewise-linear methods. An extensive up-to-date bibliography spanning 46 pages is included. The material in this book has been presented to students of mathematics, engineering and sciences with great success, and will also serve as a valuable tool for researchers in the field.



Mathematical and Computational Techniques for Multilevel Adaptive Methods

Mathematical and Computational Techniques for Multilevel Adaptive Methods Author Ulrich R?de
ISBN-10 9780898713206
Release 1993-01-01
Pages 140
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This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures.



FAIR

FAIR Author Jan Modersitzki
ISBN-10 9780898716900
Release 2009-11-26
Pages 189
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Whenever images taken at different times, from different viewpoints, and/or by different sensors need to be compared, merged, or integrated, image registration is required. Registration, also known as alignment, fusion, or warping, is the process of transforming data into a common reference frame. This book provides an overview of state-of-the-art registration techniques from theory to practice, plus numerous exercises designed to enhance readers' understanding of the principles and mechanisms of the described techniques. It also provides, via a supplementary Web page, free access to FAIR.m, a package that is based on the MATLAB software environment, which enables readers to experiment with the proposed algorithms and explore the presented examples in more depth.



The Immersed Interface Method

The Immersed Interface Method Author Zhilin Li
ISBN-10 0898717469
Release 2006
Pages 332
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This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.



First Order Methods in Optimization

First Order Methods in Optimization Author Amir Beck
ISBN-10 9781611974980
Release 2017-10-02
Pages 484
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The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods.



Numerical Methods of Mathematical Optimization

Numerical Methods of Mathematical Optimization Author Hans P. Künzi
ISBN-10 9781483264714
Release 2014-05-12
Pages 222
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Numerical Methods of Mathematical Optimization: With ALGOL and FORTRAN Programs reviews the theory and the practical application of the numerical methods of mathematical optimization. An ALGOL and a FORTRAN program was developed for each one of the algorithms described in the theoretical section. This should result in easy access to the application of the different optimization methods. Comprised of four chapters, this volume begins with a discussion on the theory of linear and nonlinear optimization, with the main stress on an easily understood, mathematically precise presentation. In addition to the theoretical considerations, several algorithms of importance to the numerical application of optimization theory are described. The next chapter explains the computer programs used in actual optimization, which have the form of procedures or subroutines. The book concludes with an analysis of ALGOL and FORTRAN, paying particular attention to their use in global optimization procedures as well as for the simplex and duoplex methods and the decomposition, Gomory, Beale, and Wolfe algorithms. This monograph will be helpful to students and practitioners of computer science and applied mathematics.



Evaluating Derivatives

Evaluating Derivatives Author Andreas Griewank
ISBN-10 9780898716597
Release 2008-11-06
Pages 438
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This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.



Iterative Methods for Linear Systems

Iterative Methods for Linear Systems Author Maxim A. Olshanskii
ISBN-10 9781611973464
Release 2014-07-21
Pages 244
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Iterative Methods for Linear Systems÷offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.÷÷



Computational Frameworks for the Fast Fourier Transform

Computational Frameworks for the Fast Fourier Transform Author Charles Van Loan
ISBN-10 9780898712858
Release 1992-01-01
Pages 273
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The author captures the interplay between mathematics and the design of effective numerical algorithms.



Frontiers and Prospects of Contemporary Applied Mathematics

Frontiers and Prospects of Contemporary Applied Mathematics Author
ISBN-10 9789814478519
Release
Pages
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Frontiers and Prospects of Contemporary Applied Mathematics has been writing in one form or another for most of life. You can find so many inspiration from Frontiers and Prospects of Contemporary Applied Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Frontiers and Prospects of Contemporary Applied Mathematics book for free.



Identification of Continuous time Models from Sampled Data

Identification of Continuous time Models from Sampled Data Author Hugues Garnier
ISBN-10 1848001614
Release 2008-03-13
Pages 413
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This is the first book dedicated to direct continuous-time model identification for 15 years. It cuts down on time spent hunting through journals by providing an overview of much recent research in an increasingly busy field. The CONTSID toolbox discussed in the final chapter gives an overview of developments and practical examples in which MATLAB® can be used for direct time-domain identification of continuous-time systems. This is a valuable reference for a broad audience.